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2016 | OriginalPaper | Buchkapitel

Blow-Up Criterion for 3D Navier-Stokes Equations and Landau-Lifshitz System in a Bounded Domain

verfasst von : Jishan Fan, Tohru Ozawa

Erschienen in: Recent Developments of Mathematical Fluid Mechanics

Verlag: Springer Basel

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Abstract

In this paper we prove a blow-up criterion for the 3D Navier-Stokes equations in a bounded domain in terms of a BMO norm of vorticity. We will also prove a regularity criterion for the Landau-Lifshitz system in a bounded domain.

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Metadaten
Titel
Blow-Up Criterion for 3D Navier-Stokes Equations and Landau-Lifshitz System in a Bounded Domain
verfasst von
Jishan Fan
Tohru Ozawa
Copyright-Jahr
2016
Verlag
Springer Basel
DOI
https://doi.org/10.1007/978-3-0348-0939-9_10